FDA Express Vol. 35, No. 1, Apr 30, 2020
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Editors: http://jsstam.org.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai
University
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shuhong@hhu.edu.cn,
fdaexpress@hhu.edu.com
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◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Nonlinear Fractional Order Circuits and Systems: Advanced Analysis and Effective Implementation
◆ Books
Fractional Signals and Systems
◆ Journals
Advances in Nonlinear Analysis
International Journal of Robust and Nonlinear Control
◆ Paper Highlight
Reaction and ultraslow diffusion on comb structures
◆ Websites of Interest
Fractal Derivative and Operators and Their Applications
Fractional Calculus & Applied Analysis
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Latest SCI Journal Papers on FDA
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Electroosmotic slip flow of Oldroyd-B fluid between two plates with non-singular kernel
By: Awan, Aziz Ullah; Ali, Mukarram; Abro, Kashif Ali
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 376 Published: OCT 1 2020
Some properties concerning the analysis of generalized Wright function
Comparison theorems and distributions of solutions to uncertain fractional difference equations
Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data
Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction
Caputo fractional continuous cobweb models
A note on the adaptive numerical solution of a Riemann-Liouville space-fractional Kawarada problem
Uniqueness and reconstruction for the fractional Calderon problem with a single measurement
Fractional integrals and their commutators on martingale Orlicz spaces
On stability of nonlinear nonautonomous discrete fractional Caputo systems
Strichartz estimates for space-time fractional Schrodinger equations
Finite time complete synchronization for fractional-order multiplex networks
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Call for Papers
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Nonlinear Fractional Order Circuits and Systems: Advanced Analysis and Effective Implementation
(Special Section in IEEE Open Journal of Circuits and Systems)
The field of nonlinear circuits and systems is maturing. Powerful tools have been introduced which can be effectively applied to the analysis and design of nonlinear circuits and systems. The fabrication of fractional order electrical elements (i.e., fractional order capacitors and inductors) has brought new challenges, however. Due to specific characteristics of these electrical elements, originating from the inherent properties of the fractional order differential operators (such as the non-locality of the operators and the infinite-dimensionality of the dynamic models defined on the basis of such operators), the existing tools for analysis and design of nonlinear circuits and systems may not be generally applicable, when the circuits/systems under consideration, simultaneously contain nonlinear and fractional order elements/subsystems. Moreover, enhancing the effectiveness and accuracy of the implementation methods for the realization of these dynamic structures is of great importance to applications. This special section provides a forum for presenting the latest advances in the analysis and implementation of nonlinear fractional order circuits and systems aiming to address these challenges.
The Publication Fees: Article Processing Charges (APCs) for the accepted papers will be completely subsidized by the CAS Society. Hence these publications will be completely free of charge to the authors.
Specific Topics of Interest (but are not limited to):
-Advanced techniques for stability analysis of nonlinear fractional order systemsPublication Schedule
Manuscript submission deadline: 5 July 2020
First-round revision notification due: 6 September 2020
Revised manuscripts due: 27 September 2020
Second-round revision notification due: 25 October 2020
Final manuscript due: 22 November 2020
Online publication: December 2020
Guest Editors
Mohammad Saleh Tavazoei, Sharif University of Technology, Tehran, Iran,
tavazoei@sharif.edu, http://amee.tu-sofia.bg/.
Mahsan Tavakoli-Kakhki, K. N. Toosi University of Technology, Tehran, Iran, matavakoli@kntu.ac.ir, https://wp.kntu.ac.ir/matavakoli.
Federico Bizzarri, Politecnico di Milano, Milan, Italy, federico.bizzarri@polimi.it.
Instructions for Authors
Manuscripts must be submitted online using the IEEE OJCAS Manuscript Template via Manuscript Central at:
https://mc.manuscriptcentral.com/oj-cas .
All details on this special section are now available at: https://bit.ly/2yDd7lV.
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Books
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(Authors: Manuel Duarte Ortigueira, Duarte Valério)
Details: https://doi.org/10.1515/9783110624588
Introduction
The book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. Some advanced topics are included like derivatives of stochastic processes. It is an essential reference for researchers in mathematics, physics, and engineering.
- Presents the theory and applications of fractional derivatives in signals and systems.
- Both time and frequency analysis are presented.
- Of interest to mathematicians and physicists as well as to engineers.
Contents:
PART I: CONTINUOUS-TIME
1. Introduction to signals and systems
2. Continuous-time linear systems and the Laplace transform
3. Fractional commensurate linear systems: time responses
4. The fractional commensurate linear systems. Frequency responses
5. State-space representation
6. Feedback representation
7. On fractional derivatives
PART II: DISCRETE-TIME
8. Discrete-time linear systems. Difference equations
9. Z transform. Transient responses
10. Discrete-time derivatives and transforms
PART III: ADVANCED TOPICS
11. Fractional stochastic processes and two-sided derivatives
12. Fractional delay discrete-time linear systems
13. Fractional derivatives with variable orders
APPENDIXES
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Journals
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Advances in Nonlinear Analysis
(Selected)
Peter Bugiel, Stanisław Wędrychowicz, Beata Rzepka
Menglan Liao, Qiang Liu, Hailong Ye
Optimal rearrangement problem and normalized obstacle problem in the fractional setting
Julián Fernández Bonder, Zhiwei Cheng, Hayk Mikayelyan
On a fractional thin film equation
Antonio Segatti, Juan Luis Vázquez
Minimum action solutions of nonhomogeneous Schrödinger equations
Bashir Ahmad, Ahmed Alsaedi
Anisotropic problems with unbalanced growth
Ahmed Alsaedi, Bashir Ahmad
Gradient estimates for the fundamental solution of Lévy type operator
Wei Liu, Renming Song, Longjie Xie
Mousomi Bhakta, Phuoc-Tai Nguyen
π/4-tangentiality of solutions for one-dimensional Minkowski-curvature problems
Rui Yang, Inbo Sim, Yong-Hoon Lee
Lack of smoothing for bounded solutions of a semilinear parabolic equation
Marek Fila, Johannes Lankeit
Xiangdong Fang, Jianjun Zhang
Global and non global solutions for a class of coupled parabolic systems
T. Saanouni
International Journal of Robust and Nonlinear Control
(Selected)
Differential flatness‐based ADRC scheme for underactuated fractional‐order systems
Zongyang Li Yiheng Wei Xi Zhou Jiachang Wang Jianli Wang Yong Wang
Fudong Ge YangQuan Chen
Chuanjing Hou Xiaoping Liu Huanqing Wang
Prespecifiable fixed‐time control for a class of uncertain nonlinear systems in strict‐feedback form
Ye Cao Changyun Wen Shilei Tan Yongduan Song
Xin Gang Chen Hongbing Xiang Jiahua Dai
Siyu Liu Feng Ding Tasawar Hayat
Griselda I. Zamora‐Gómez, Arturo Zavala‐Río, Emilio Vázquez‐Ramírez, Fernando Reyes, Víctor Santibáñez
Iterative learning control for nonlinear differential inclusion systems
Shengda Liu, JinRong Wang, Dong Shen, Michal Fečkan
Saleh Mobayen Farhad Bayat Hossein Omidvar Afef Fekih
Tracking and parameter identification for model reference adaptive control
Michael Malisoff
Distributed fusion Kalman filtering under binary sensors
Yuchen Zhang Bo Chen Li Yu
Quasi‐synchronization of multilayer heterogeneous networks with a dynamic leader
Huihui Yang Zhengxin Wang Qiang Song Xiaoyang Liu Min Xiao
Vladimir Dombrovskii Tatiana Pashinskaya
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Paper
Highlight
F. Meng, J. W. Banks, W. D. Henshaw, D. W. Schwendeman
Publication information: Computer Methods in Applied Mechanics and Engineering, Volume 3661, July 2020, Article 113040
https://doi.org/10.1016/j.cma.2020.113040
Abstract
Two efficient fractional-step schemes for the incompressible Navier–Stokes equations in two and three dimensions are described. The schemes are fourth-order accurate in space and time, and are based on solving the velocity-pressure form of the equations. Both schemes employ predictor-corrector time-stepping approaches. The first is an explicit Adams-type scheme, while the second is an IMEX-BDF-type scheme in which the viscous/advective terms in the equations are treated implicitly/explicitly. The equations and boundary conditions are discretized in space using fourth-order accurate finite-difference approximations. The formulation of discrete boundary conditions for each stage of the fractional-step scheme is found to be critical to the accuracy and stability of the approach. A WENO-based scheme, called BWENO, provides upwind dissipation and ensures robustness of the schemes for problems where the solution is under-resolved on the grid (e.g. near boundary or shear layers). Complex, and possibly moving, domains are handled efficiently using composite overlapping grids. A variety of problems in two and three dimensions, some for which exact solutions are either known or manufactured, are used to verify the stability and accuracy of the new schemes.
Highlights
-Stable and fourth-order accurate schemes for the incompressible Navier–Stokes equations.
-New and efficient IMEX-BDF fractional-step predictor-corrector time-stepping scheme.
-BWENO discretization of convective terms provides upwind dissipation for robustness.
-Overlapping grids accommodate complex geometry with static and/or moving boundaries.
-Benchmark problems, some with exact solutions, verify the accuracy of the algorithm.
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Yingjie Liang, Trifce Sandev, Ervin Kaminski Lenzi
Publication information: PHYSICAL REVIEW E, 101, 042119, Published 16 April 2020
https://doi.org/10.1103/PhysRevE.101.042119
Abstract
A two-dimensional (2D) comb model is proposed to characterize reaction-ultraslow diffusion of tracers both in backbones ( x direction) and side branches ( y direction) of the comblike structure with two memory kernels. The memory kernels include Dirac delta, power-law, and logarithmic and inverse Mittag-Leffler (ML) functions, which can also be considered as the structural functions in the time structural derivative. Based on the comb model, ultraslow diffusion on a fractal comb structure is also investigated by considering spatial fractal geometry of the backbone volume. The mean squared displacement (MSD) and the corresponding concentration of the tracers, i.e., the solution of the comb model, are derived for reactive and conservative tracers. For a fractal structure of backbones, the derived MSDs and corresponding solutions depend on the backbone's fractal dimension. The proposed 2D comb model with different kernel functions is feasible to describe ultraslow diffusion in both the backbone and side branches of the comblike structure.
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The End of This Issue
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